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Fourier Analysis of APX (Blackrock APEX Municipal Fund,)


APX (Blackrock APEX Municipal Fund,) appears to have interesting cyclic behaviour every 71 weeks (.8705*sine), 87 weeks (.8421*cosine), and 113 weeks (.8046*cosine).

APX (Blackrock APEX Municipal Fund,) has an average price of 2.19 (topmost row, frequency = 0).



Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 8/23/1995 to 4/17/2017 for APX (Blackrock APEX Municipal Fund,), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02.18698   0 
1.84073 .78804 (1*2π)/11311,131 weeks
2.9328 1.19832 (2*2π)/1131566 weeks
31.15202 1.52758 (3*2π)/1131377 weeks
4.77489 1.45634 (4*2π)/1131283 weeks
5-.34654 .79814 (5*2π)/1131226 weeks
6-.34799 1.53306 (6*2π)/1131189 weeks
7-.10358 1.04174 (7*2π)/1131162 weeks
8-.71533 .64143 (8*2π)/1131141 weeks
9-.85158 .34069 (9*2π)/1131126 weeks
10-.80461 .3693 (10*2π)/1131113 weeks
11-.48597 .38771 (11*2π)/1131103 weeks
12-.62582 -.43616 (12*2π)/113194 weeks
13-.84207 -.33327 (13*2π)/113187 weeks
14-.4374 -.11002 (14*2π)/113181 weeks
15.01914 -.40756 (15*2π)/113175 weeks
16-.10405 -.87046 (16*2π)/113171 weeks
17-.27645 -.3285 (17*2π)/113167 weeks
18.38802 -.02969 (18*2π)/113163 weeks
19.38382 -.40376 (19*2π)/113160 weeks
20.02569 -.53741 (20*2π)/113157 weeks
21.1024 .0767 (21*2π)/113154 weeks
22.60596 .03255 (22*2π)/113151 weeks
23.42896 -.31835 (23*2π)/113149 weeks
24.12701 .02331 (24*2π)/113147 weeks
25.26864 .31991 (25*2π)/113145 weeks
26.53412 .25706 (26*2π)/113144 weeks
27.20835 -.01364 (27*2π)/113142 weeks
28-.02071 .25742 (28*2π)/113140 weeks
29.1443 .56844 (29*2π)/113139 weeks
30.17573 .24638 (30*2π)/113138 weeks
31-.10837 .01054 (31*2π)/113136 weeks
32-.25481 .27981 (32*2π)/113135 weeks
33-.01288 .37528 (33*2π)/113134 weeks
34.04587 .00018 (34*2π)/113133 weeks
35-.21266 -.03181 (35*2π)/113132 weeks
36-.30679 .17018 (36*2π)/113131 weeks
37-.04479 .14414 (37*2π)/113131 weeks
38.05073 -.22595 (38*2π)/113130 weeks
39-.16761 -.16589 (39*2π)/113129 weeks
40-.16748 .08237 (40*2π)/113128 weeks
41.2147 .0339 (41*2π)/113128 weeks
42.17264 -.25795 (42*2π)/113127 weeks
43-.13658 -.04781 (43*2π)/113126 weeks
44.06828 .24438 (44*2π)/113126 weeks
45.29526 .01975 (45*2π)/113125 weeks
46.00116 -.06959 (46*2π)/113125 weeks
47-.13593 .16311 (47*2π)/113124 weeks
48.04402 .20862 (48*2π)/113124 weeks
49.06558 .00048 (49*2π)/113123 weeks
50-.11527 -.02164 (50*2π)/113123 weeks
51-.1576 .01562 (51*2π)/113122 weeks
52-.0092 .08765 (52*2π)/113122 weeks
53.11391 -.03388 (53*2π)/113121 weeks
54-.08251 -.16726 (54*2π)/113121 weeks
55-.15138 -.00713 (55*2π)/113121 weeks
56.12144 .07921 (56*2π)/113120 weeks
57.22623 -.16612 (57*2π)/113120 weeks
58-.05591 -.17573 (58*2π)/113120 weeks
59.01352 .17037 (59*2π)/113119 weeks
60.29492 .09554 (60*2π)/113119 weeks
61.1642 -.13721 (61*2π)/113119 weeks
62-.01704 .07003 (62*2π)/113118 weeks
63.08317 .29585 (63*2π)/113118 weeks
64.227 .18029 (64*2π)/113118 weeks
65-.01062 .03142 (65*2π)/113117 weeks
66-.19411 .14206 (66*2π)/113117 weeks
67-.02044 .29836 (67*2π)/113117 weeks
68.08552 .13934 (68*2π)/113117 weeks
69-.20186 -.10706 (69*2π)/113116 weeks
70-.33825 .11184 (70*2π)/113116 weeks
71.0529 .21326 (71*2π)/113116 weeks
72.00068 -.17243 (72*2π)/113116 weeks
73-.25987 -.18518 (73*2π)/113115 weeks
74-.15636 .14276 (74*2π)/113115 weeks
75.11566 .01012 (75*2π)/113115 weeks
76-.05134 -.30278 (76*2π)/113115 weeks
77-.11939 -.09827 (77*2π)/113115 weeks
78.00275 .04142 (78*2π)/113115 weeks
79.16364 -.05468 (79*2π)/113114 weeks
80.10812 -.20803 (80*2π)/113114 weeks
81-.093 -.06544 (81*2π)/113114 weeks
82.03066 .12871 (82*2π)/113114 weeks
83.3241 -.02273 (83*2π)/113114 weeks
84.08111 -.23656 (84*2π)/113113 weeks
85-.17574 .11977 (85*2π)/113113 weeks
86.25368 .29785 (86*2π)/113113 weeks
87.2812 -.18285 (87*2π)/113113 weeks
88-.18456 -.06548 (88*2π)/113113 weeks
89-.02804 .36044 (89*2π)/113113 weeks
90.31297 .12251 (90*2π)/113113 weeks
91-.0265 -.17041 (91*2π)/113112 weeks
92-.23642 .18889 (92*2π)/113112 weeks
93.10088 .23136 (93*2π)/113112 weeks
94.05607 -.05342 (94*2π)/113112 weeks
95-.1109 -.031 (95*2π)/113112 weeks
96-.11211 .10305 (96*2π)/113112 weeks
97.00454 .07992 (97*2π)/113112 weeks
98.04841 -.02253 (98*2π)/113112 weeks
99-.04331 -.10208 (99*2π)/113111 weeks
100-.13285 .03172 (100*2π)/113111 weeks
101.07279 .16627 (101*2π)/113111 weeks
102.14984 -.11086 (102*2π)/113111 weeks
103-.1818 -.10769 (103*2π)/113111 weeks
104-.10284 .21869 (104*2π)/113111 weeks
105.21695 .05302 (105*2π)/113111 weeks
106-.03228 -.23227 (106*2π)/113111 weeks
107-.23491 .07417 (107*2π)/113111 weeks
108.1223 .18473 (108*2π)/113110 weeks
109.12376 -.13585 (109*2π)/113110 weeks
110-.17974 -.10674 (110*2π)/113110 weeks
111-.07232 .14449 (111*2π)/113110 weeks
112.15844 .01806 (112*2π)/113110 weeks
113-.00922 -.15831 (113*2π)/113110 weeks
114-.11858 -.00004 (114*2π)/113110 weeks
115.05713 .06006 (115*2π)/113110 weeks
116.12854 -.04526 (116*2π)/113110 weeks
117-.01239 -.1007 (117*2π)/113110 weeks
118-.00767 .05129 (118*2π)/113110 weeks
119.10461 .06134 (119*2π)/113110 weeks
120.07992 -.01666 (120*2π)/11319 weeks
121.00144 -.01976 (121*2π)/11319 weeks
122.00916 .07753 (122*2π)/11319 weeks
123.08183 .08346 (123*2π)/11319 weeks
124.04977 .01906 (124*2π)/11319 weeks
125-.03253 .02834 (125*2π)/11319 weeks
126-.03831 .09976 (126*2π)/11319 weeks
127.06082 .1095 (127*2π)/11319 weeks
128-.01293 -.03696 (128*2π)/11319 weeks
129-.13822 .02883 (129*2π)/11319 weeks
130-.02053 .1524 (130*2π)/11319 weeks
131.05025 -.03281 (131*2π)/11319 weeks
132-.1437 -.1124 (132*2π)/11319 weeks
133-.11605 .11605 (133*2π)/11319 weeks
134.10169 -.01304 (134*2π)/11318 weeks
135-.03311 -.18746 (135*2π)/11318 weeks
136-.14757 .01001 (136*2π)/11318 weeks
137.122 .0651 (137*2π)/11318 weeks
138.09642 -.17207 (138*2π)/11318 weeks
139-.10525 -.03327 (139*2π)/11318 weeks
140.08077 .10031 (140*2π)/11318 weeks
141.14314 -.06044 (141*2π)/11318 weeks
142-.04494 -.02002 (142*2π)/11318 weeks
143.00967 .07781 (143*2π)/11318 weeks
144.09502 .00054 (144*2π)/11318 weeks
145.00471 -.0034 (145*2π)/11318 weeks
146.02475 .07278 (146*2π)/11318 weeks
147.03773 -.01495 (147*2π)/11318 weeks
148-.03846 .08367 (148*2π)/11318 weeks
149.04519 .07066 (149*2π)/11318 weeks
150-.00179 -.07032 (150*2π)/11318 weeks
151-.08405 .05287 (151*2π)/11317 weeks
152.05433 .10746 (152*2π)/11317 weeks
153.05774 -.07166 (153*2π)/11317 weeks
154-.12815 -.01651 (154*2π)/11317 weeks
155.00935 .14348 (155*2π)/11317 weeks
156.09636 -.04123 (156*2π)/11317 weeks
157-.08896 -.05188 (157*2π)/11317 weeks
158-.0604 .10257 (158*2π)/11317 weeks
159.06836 .02664 (159*2π)/11317 weeks
160-.0484 -.06776 (160*2π)/11317 weeks
161-.07234 .01637 (161*2π)/11317 weeks
162.01563 .00817 (162*2π)/11317 weeks
163-.00572 -.02922 (163*2π)/11317 weeks
164-.01695 -.01715 (164*2π)/11317 weeks
165-.00771 -.03968 (165*2π)/11317 weeks
166-.02054 -.00758 (166*2π)/11317 weeks
167.05332 -.02385 (167*2π)/11317 weeks
168.03538 -.05668 (168*2π)/11317 weeks
169-.02323 .01544 (169*2π)/11317 weeks
170.05659 .03231 (170*2π)/11317 weeks
171.04601 -.0574 (171*2π)/11317 weeks
172-.02458 .00417 (172*2π)/11317 weeks
173.08041 .05087 (173*2π)/11317 weeks
174.05968 -.01874 (174*2π)/11317 weeks
175-.04183 .03657 (175*2π)/11316 weeks
176.05254 .09257 (176*2π)/11316 weeks
177.0322 -.02597 (177*2π)/11316 weeks
178-.08769 .02707 (178*2π)/11316 weeks
179.01348 .08535 (179*2π)/11316 weeks
180.05391 -.04404 (180*2π)/11316 weeks
181-.08307 -.01301 (181*2π)/11316 weeks
182-.0141 .0853 (182*2π)/11316 weeks
183.05223 -.0213 (183*2π)/11316 weeks
184-.06009 -.03147 (184*2π)/11316 weeks
185-.02817 .03851 (185*2π)/11316 weeks
186.01098 -.02044 (186*2π)/11316 weeks
187-.02601 -.03002 (187*2π)/11316 weeks
188.02402 .00654 (188*2π)/11316 weeks
189.01088 -.05859 (189*2π)/11316 weeks
190-.05543 .00824 (190*2π)/11316 weeks
191.08547 .05174 (191*2π)/11316 weeks
192.057 -.10042 (192*2π)/11316 weeks
193-.10463 -.01502 (193*2π)/11316 weeks
194.04186 .1205 (194*2π)/11316 weeks
195.15383 -.04511 (195*2π)/11316 weeks
196-.08624 -.11838 (196*2π)/11316 weeks
197-.06604 .14199 (197*2π)/11316 weeks
198.15855 .07135 (198*2π)/11316 weeks
199.02874 -.13649 (199*2π)/11316 weeks
200-.1357 .02372 (200*2π)/11316 weeks
201.04182 .14088 (201*2π)/11316 weeks
202.13133 -.03149 (202*2π)/11316 weeks
203-.06646 -.08516 (203*2π)/11316 weeks
204-.09194 .08111 (204*2π)/11316 weeks
205.06678 .09265 (205*2π)/11316 weeks
206.06548 -.07075 (206*2π)/11315 weeks
207-.07822 -.06511 (207*2π)/11315 weeks
208-.05898 .10238 (208*2π)/11315 weeks
209.08958 .05377 (209*2π)/11315 weeks
210.02551 -.08526 (210*2π)/11315 weeks
211-.09643 -.04472 (211*2π)/11315 weeks
212-.0208 .0894 (212*2π)/11315 weeks
213.09983 .0348 (213*2π)/11315 weeks
214.01881 -.09966 (214*2π)/11315 weeks
215-.10705 -.02427 (215*2π)/11315 weeks
216-.02278 .13049 (216*2π)/11315 weeks
217.14186 -.00151 (217*2π)/11315 weeks
218-.00544 -.17736 (218*2π)/11315 weeks
219-.17762 .07323 (219*2π)/11315 weeks
220.1056 .16656 (220*2π)/11315 weeks
221.15721 -.14916 (221*2π)/11315 weeks
222-.17928 -.12338 (222*2π)/11315 weeks
223-.08362 .21557 (223*2π)/11315 weeks
224.23125 .00098 (224*2π)/11315 weeks
225-.02748 -.23037 (225*2π)/11315 weeks
226-.16215 .09945 (226*2π)/11315 weeks
227.1295 .13362 (227*2π)/11315 weeks
228.09297 -.13192 (228*2π)/11315 weeks
229-.10793 -.04411 (229*2π)/11315 weeks
230.02219 .08793 (230*2π)/11315 weeks
231.07536 -.00888 (231*2π)/11315 weeks
232.00783 .01148 (232*2π)/11315 weeks
233.04026 -.02135 (233*2π)/11315 weeks
234-.04833 -.00518 (234*2π)/11315 weeks
235.021 .1301 (235*2π)/11315 weeks
236.13636 -.00064 (236*2π)/11315 weeks
237-.07354 -.09612 (237*2π)/11315 weeks
238-.13724 .15784 (238*2π)/11315 weeks
239.16219 .12912 (239*2π)/11315 weeks
240.00497 -.17049 (240*2π)/11315 weeks
241-.24276 .06188 (241*2π)/11315 weeks
242.03755 .17871 (242*2π)/11315 weeks
243.0827 -.14167 (243*2π)/11315 weeks
244-.20156 -.10065 (244*2π)/11315 weeks
245-.04915 .10364 (245*2π)/11315 weeks
246.10756 -.08614 (246*2π)/11315 weeks
247-.07244 -.11272 (247*2π)/11315 weeks
248-.02847 .00915 (248*2π)/11315 weeks
249.07962 -.06267 (249*2π)/11315 weeks
250-.00803 -.06728 (250*2π)/11315 weeks
251.03987 .00684 (251*2π)/11315 weeks
252.1008 -.06926 (252*2π)/11314 weeks
253.0022 -.04429 (253*2π)/11314 weeks
254.0661 .07733 (254*2π)/11314 weeks
255.126 -.01202 (255*2π)/11314 weeks
256.01884 -.01044 (256*2π)/11314 weeks
257.01833 .10354 (257*2π)/11314 weeks
258.0472 .0799 (258*2π)/11314 weeks
259.0105 .01409 (259*2π)/11314 weeks
260-.02301 .04694 (260*2π)/11314 weeks
261-.01568 .04675 (261*2π)/11314 weeks
262-.0421 .05335 (262*2π)/11314 weeks
263.02088 .0225 (263*2π)/11314 weeks
264-.03082 -.03067 (264*2π)/11314 weeks
265-.09033 .03801 (265*2π)/11314 weeks
266-.0013 .05457 (266*2π)/11314 weeks
267.03718 -.04432 (267*2π)/11314 weeks
268-.08461 -.05113 (268*2π)/11314 weeks
269-.08001 .03987 (269*2π)/11314 weeks
270.05849 .00625 (270*2π)/11314 weeks
271.02802 -.07219 (271*2π)/11314 weeks
272-.0874 -.052 (272*2π)/11314 weeks
273-.05523 .04694 (273*2π)/11314 weeks
274.09697 .02279 (274*2π)/11314 weeks
275.03012 -.1465 (275*2π)/11314 weeks
276-.13263 -.04894 (276*2π)/11314 weeks
277.01105 .1206 (277*2π)/11314 weeks
278.1929 -.06083 (278*2π)/11314 weeks
279-.04613 -.19112 (279*2π)/11314 weeks
280-.13291 .0906 (280*2π)/11314 weeks
281.17697 .11971 (281*2π)/11314 weeks
282.12543 -.15317 (282*2π)/11314 weeks
283-.15229 -.07656 (283*2π)/11314 weeks
284-.00602 .15145 (284*2π)/11314 weeks
285.20032 .01904 (285*2π)/11314 weeks
286.03575 -.14508 (286*2π)/11314 weeks
287-.09222 .02237 (287*2π)/11314 weeks
288.04813 .15838 (288*2π)/11314 weeks
289.16066 .03305 (289*2π)/11314 weeks
290-.00345 -.1074 (290*2π)/11314 weeks
291-.15838 .06463 (291*2π)/11314 weeks
292.05973 .19697 (292*2π)/11314 weeks
293.15873 -.02569 (293*2π)/11314 weeks
294-.12703 -.1387 (294*2π)/11314 weeks
295-.17404 .15629 (295*2π)/11314 weeks
296.13259 .15572 (296*2π)/11314 weeks
297.0594 -.1641 (297*2π)/11314 weeks
298-.21822 -.08265 (298*2π)/11314 weeks
299-.07816 .16994 (299*2π)/11314 weeks
300.15445 .02404 (300*2π)/11314 weeks
301-.00626 -.21139 (301*2π)/11314 weeks
302-.19134 -.02875 (302*2π)/11314 weeks
303.00395 .1591 (303*2π)/11314 weeks
304.19192 -.06792 (304*2π)/11314 weeks
305-.04426 -.2262 (305*2π)/11314 weeks
306-.17941 .06495 (306*2π)/11314 weeks
307.14338 .16523 (307*2π)/11314 weeks
308.17916 -.1804 (308*2π)/11314 weeks
309-.15407 -.14278 (309*2π)/11314 weeks
310-.05224 .1951 (310*2π)/11314 weeks
311.22359 .04279 (311*2π)/11314 weeks
312.02394 -.18423 (312*2π)/11314 weeks
313-.11976 .02665 (313*2π)/11314 weeks
314.06964 .13025 (314*2π)/11314 weeks
315.10834 -.01013 (315*2π)/11314 weeks
316.01881 -.05133 (316*2π)/11314 weeks
317-.05179 .00736 (317*2π)/11314 weeks
318-.0265 .10533 (318*2π)/11314 weeks
319.12588 .07157 (319*2π)/11314 weeks
320.0592 -.11668 (320*2π)/11314 weeks
321-.18814 .01972 (321*2π)/11314 weeks
322.01289 .24142 (322*2π)/11314 weeks
323.20623 -.06029 (323*2π)/11314 weeks
324-.15827 -.15525 (324*2π)/11313 weeks
325-.18941 .21272 (325*2π)/11313 weeks
326.1661 .1027 (326*2π)/11313 weeks
327-.01264 -.21423 (327*2π)/11313 weeks
328-.2336 .01168 (328*2π)/11313 weeks
329.03526 .10897 (329*2π)/11313 weeks
330.06622 -.11191 (330*2π)/11313 weeks
331-.08022 -.07357 (331*2π)/11313 weeks
332-.01403 -.00168 (332*2π)/11313 weeks
333-.01209 -.06506 (333*2π)/11313 weeks
334.01006 .00916 (334*2π)/11313 weeks
335.11993 -.05279 (335*2π)/11313 weeks
336-.03918 -.15453 (336*2π)/11313 weeks
337-.07338 .09564 (337*2π)/11313 weeks
338.21152 .06876 (338*2π)/11313 weeks
339.08964 -.2084 (339*2π)/11313 weeks
340-.15347 .01199 (340*2π)/11313 weeks
341.09939 .22653 (341*2π)/11313 weeks
342.22291 -.07296 (342*2π)/11313 weeks
343-.10571 -.1138 (343*2π)/11313 weeks
344-.08746 .1628 (344*2π)/11313 weeks
345.1532 .10496 (345*2π)/11313 weeks
346.06415 -.07995 (346*2π)/11313 weeks
347-.09107 -.00754 (347*2π)/11313 weeks
348-.04241 .11772 (348*2π)/11313 weeks
349.06638 .10037 (349*2π)/11313 weeks
350.03649 -.03582 (350*2π)/11313 weeks
351-.11937 -.06566 (351*2π)/11313 weeks
352-.1172 .11918 (352*2π)/11313 weeks
353.08992 .09635 (353*2π)/11313 weeks
354.04162 -.16406 (354*2π)/11313 weeks
355-.18653 -.08008 (355*2π)/11313 weeks
356-.0678 .17879 (356*2π)/11313 weeks
357.17719 -.00857 (357*2π)/11313 weeks
358-.00075 -.25185 (358*2π)/11313 weeks
359-.20342 .01157 (359*2π)/11313 weeks
360.0731 .20944 (360*2π)/11313 weeks
361.23289 -.1034 (361*2π)/11313 weeks
362-.11717 -.21853 (362*2π)/11313 weeks
363-.19586 .15639 (363*2π)/11313 weeks
364.22125 .16525 (364*2π)/11313 weeks
365.15695 -.22373 (365*2π)/11313 weeks
366-.23636 -.08777 (366*2π)/11313 weeks
367-.05605 .25473 (367*2π)/11313 weeks
368.24654 .01949 (368*2π)/11313 weeks
369-.01143 -.23325 (369*2π)/11313 weeks
370-.20619 .04129 (370*2π)/11313 weeks
371.06137 .19547 (371*2π)/11313 weeks
372.16643 -.04807 (372*2π)/11313 weeks
373-.05069 -.17095 (373*2π)/11313 weeks
374-.17057 .04116 (374*2π)/11313 weeks
375.06419 .18427 (375*2π)/11313 weeks
376.20425 -.07892 (376*2π)/11313 weeks
377-.08545 -.21857 (377*2π)/11313 weeks
378-.21677 .13973 (378*2π)/11313 weeks
379.21058 .21708 (379*2π)/11313 weeks
380.2072 -.2405 (380*2π)/11313 weeks
381-.26557 -.12446 (381*2π)/11313 weeks
382-.06856 .32763 (382*2π)/11313 weeks
383.32037 .05218 (383*2π)/11313 weeks
384-.03434 -.27731 (384*2π)/11313 weeks
385-.29158 .11546 (385*2π)/11313 weeks
386.10166 .26141 (386*2π)/11313 weeks
387.16904 -.12557 (387*2π)/11313 weeks
388-.16231 -.15918 (388*2π)/11313 weeks
389-.1722 .13814 (389*2π)/11313 weeks
390.10428 .12349 (390*2π)/11313 weeks
391.09945 -.14453 (391*2π)/11313 weeks
392-.15653 -.14741 (392*2π)/11313 weeks
393-.14455 .13247 (393*2π)/11313 weeks
394.17623 .09417 (394*2π)/11313 weeks
395.0901 -.23633 (395*2π)/11313 weeks
396-.22813 -.09239 (396*2π)/11313 weeks
397-.01316 .21318 (397*2π)/11313 weeks
398.25479 -.04827 (398*2π)/11313 weeks
399-.03565 -.23842 (399*2π)/11313 weeks
400-.16591 .08667 (400*2π)/11313 weeks
401.13893 .1594 (401*2π)/11313 weeks
402.14604 -.11508 (402*2π)/11313 weeks
403-.08862 -.09424 (403*2π)/11313 weeks
404-.07068 .12172 (404*2π)/11313 weeks
405.08147 .10602 (405*2π)/11313 weeks
406.09506 -.08725 (406*2π)/11313 weeks
407-.10057 -.0921 (407*2π)/11313 weeks
408-.10862 .11644 (408*2π)/11313 weeks
409.1504 .10524 (409*2π)/11313 weeks
410.06474 -.17827 (410*2π)/11313 weeks
411-.19953 -.04014 (411*2π)/11313 weeks
412.00931 .19704 (412*2π)/11313 weeks
413.19414 -.05964 (413*2π)/11313 weeks
414-.09099 -.15806 (414*2π)/11313 weeks
415-.12199 .13077 (415*2π)/11313 weeks
416.12837 .06456 (416*2π)/11313 weeks
417.0251 -.11927 (417*2π)/11313 weeks
418-.09367 .02243 (418*2π)/11313 weeks
419.01791 .03795 (419*2π)/11313 weeks
420.001 -.0229 (420*2π)/11313 weeks
421-.0052 .00798 (421*2π)/11313 weeks
422.02515 -.05392 (422*2π)/11313 weeks
423-.06478 -.04742 (423*2π)/11313 weeks
424.00251 .08832 (424*2π)/11313 weeks
425.1286 -.04565 (425*2π)/11313 weeks
426-.05994 -.1289 (426*2π)/11313 weeks
427-.06487 .11118 (427*2π)/11313 weeks
428.13497 .05313 (428*2π)/11313 weeks
429.02583 -.1404 (429*2π)/11313 weeks
430-.1014 .02484 (430*2π)/11313 weeks
431.06391 .11126 (431*2π)/11313 weeks
432.06881 -.06068 (432*2π)/11313 weeks
433-.05335 -.02615 (433*2π)/11313 weeks
434.00033 .05988 (434*2π)/11313 weeks
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